f)=S find f using fO) = lim fh)-f )=lim fa-f h0

Q: ball is draped from feet after t seconds 6. ht fect 500 ts heighe by h(t)s00-1 ज in lven

A: To determine the velocity , using limits

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A: Given,          A line passes through the point (-9,5) and has a slope 4/3.

Q: 43

A: Given,

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A: Definition used:“A function is a correspondence between two sets of elements such that to each eleme...

Q: Rewrite the expression by rationalizing its numerator. [sqrt(z-8)-sqrt(z)]/8

A: Multiply by conjugate in numerator and denominator.

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

A:

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A: Given,The temperature changes by a constant 30 Celsius for each kilometer. So, it is a linear equati...

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A: Given: 

Q: Can you help me step by step?

A: Consider the given function:

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A: Given angle is,

Q: Please find the actual instantaneous rate of change on day 105 not just the expression

A:

Q: 106

A: Consider the given equation.

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A: The 190 grams of the radioactive isotope that remains after first half life is computed.

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

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A: The given function f is defined as,

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A: Given information:

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A: We will follow the following two steps to figure out the inverse function:1. Assume, y = f(x). Hence...

Q: Find the distance from the point (1, -4, 4) to the plane −2x−4y+3z=5

A: Given:The point (1, –4,4) and the equation of the plane –2x–4y+3z=5.The distance from the point P(x1...

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: Evaluate the limit, if it exists. lim((3/(y2+y))- 3/y) y-->0

A: To determine the limit of function, if exists.

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A: Each year it decreases by 8.25% So area after each year is (100-8.25)%= 91.75%=0.9175 of the origina...

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A: Consider the given information Principle amount (P) 44,000$Rate (r) 7.25% compounded annuallyTime (t...

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A: The domain of f is the set of all values of x for which denominator is non-zero.Therefore, 

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A: When he began the drive then x=0We have to find y when x=0y=375Answer: When he began his drive then ...

Q: For the given function, find and simplify [f(x + h) − f(x)]/h (Assume h ≠ 0.) f(x) =  5/...

A: The given function is

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A: Find the composite function w(u(x)) by substituting x = u(x) in w(x) is calculated as follows.

Q: its height in feet dopped from its height in feet after t seconds feet Jen ball is heidnt 500 by h(t...

A: Given,

Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: 61

A: Let (a, f(a)) be a point on the curve f(x) = x2 . now find the slope of the curve at the point (a, a...

Q: If a function s(t) gives the position of a function at time t, the derivative gives the velocity, th...

A: The given position function is,

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A: For f(x) we can write the denominator as a square using (a+b)^2=a^2+2ab+b^2 formula.A rational funct...

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A: The given functions, u and w are,

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A: To determine the exponential form of part (a) and logarithmic form of part (b).

Q: Can you help me step by step?

A:

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A: Given that the function is,

Q: Differentiate the function

A: Given function is

Q: A force of 14 lb is required to hold a spring stretched 2 in. beyond its natural length. How much wo...

A: Consider a force of 14 lb is required to stretch the spring by 2 in.Note that, The Hook Law says tha...

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A: Here, Given:

Q: Find the derivative of the function by using the rules of differentiation. f(t) = 7t2 + √t

A: Rules of Differentiation that are used in the given problem.

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A: Domain is the possible values of x.In the graph x takes values from -1 to 4. 4 is excluded. Answer: ...

Q: 1B) A red wine is brought up from the wine cellar, which is cool 10˚C, and left to breathe in a room...

A: Let T1 and T2 be the wine temperature and room temperature, respectively.

Q: Can you help me step by step?

A: We are given that y = sin x. We need to find the equation of tangent lines to the given curve at x =...

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A:  Consider the given information of right angle triangleOpposite side = 5Adjacent side = 7

Q: The amount of paint needed to cover the walls of a bedroom is 133x, where x is the thickness of the ...

A:

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A: The function is defined by,

Q: Find two unit vectors orthogonal to a=⟨1,−1,−2⟩a=⟨1,−1,−2⟩ and b=⟨2,0,−2⟩b=⟨2,0,−2⟩.

A: Given vectors are

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A: Domain of f is the set of values of x for which the denominator is non-zero.That is,

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A: Let W represents the amount of water in pond in liters and T represents the number of minutes that w...

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A: Given,